What is the Greatest Common Factor of 24925 and 24944?

Greatest common factor (GCF) of 24925 and 24944 is 1.

GCF(24925,24944) = 1

We will now calculate the prime factors of 24925 and 24944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24925 and 24944.

How to find the GCF of 24925 and 24944?

We will first find the prime factorization of 24925 and 24944. After we will calculate the factors of 24925 and 24944 and find the biggest common factor number .

Step-1: Prime Factorization of 24925

Prime factors of 24925 are 5, 997. Prime factorization of 24925 in exponential form is:

24925 = 5² × 997¹

Step-2: Prime Factorization of 24944

Prime factors of 24944 are 2, 1559. Prime factorization of 24944 in exponential form is:

24944 = 2⁴ × 1559¹

Step-3: Factors of 24925

List of positive integer factors of 24925 that divides 24925 without a remainder.

1, 5, 25, 997, 4985

Step-4: Factors of 24944

List of positive integer factors of 24944 that divides 24925 without a remainder.

1, 2, 4, 8, 16, 1559, 3118, 6236, 12472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24925 and 24944. The biggest common factor number is the GCF number.
So the greatest common factor 24925 and 24944 is 1.

Also check out the Least Common Multiple of 24925 and 24944